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Found 189 Documents (Results 1–100)

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Index theory with applications to mathematics and physics. (English) Zbl 1284.58001

Somerville, MA: International Press (ISBN 978-1-57146-264-0/hbk). xxii, 766 p. (2013).
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Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. (English) Zbl 1273.58001

Progress in Mathematics 305. Basel: Birkhäuser/Springer (ISBN 978-3-319-00127-2/hbk; 978-3-319-00128-9/ebook). xv, 203 p. (2013).
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The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. (English. Russian original) Zbl 1282.82064

Theor. Math. Phys. 172, No. 3, 1263-1277 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 437-453 (2012).
MSC:  82D80 81Q05 37B30
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Lectures on linear partial differential equations. (English) Zbl 1228.35001

Graduate Studies in Mathematics 123. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5284-2/hbk). xvii, 410 p. (2011).
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The tangent groupoid and the index theorem. (English) Zbl 1230.58016

Blanchard, Etienne (ed.) et al., Quanta of maths. Conference on non commutative geometry in honor of Alain Connes, Paris, France, March 29–April 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5203-3/pbk). Clay Mathematics Proceedings 11, 241-256 (2010).
MSC:  58J22 58H05 46L65
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Index theory and groupoids. (English) Zbl 1213.81209

Ocampo, Hernán (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the summer school ‘Geometric and topological methods for quantum field theory’, Villa de Leyva, Colombia, July 2–20, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-76482-7/hbk; 978-0-511-71797-0/ebook). 86-158 (2010).
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Smooth \(K\)-theory. (English) Zbl 1202.19007

Dai, Xianzhe (ed.) et al., From probability to geometry II. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-289-1/pbk). Astérisque 328, 45-135 (2009).
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Index theorem. 1. Transl. from the Japanese by Kauro Ono. (English) Zbl 1145.58008

Translations of Mathematical Monographs 235. Iwanami Series in Modern Mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-2097-1/pbk). xvii, 205 p. (2007).
MSC:  58J20 58-01
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Characteristic classes of spin surface bundles. Applications of the Madsen-Weiss theory. (English) Zbl 1121.57301

Bonner Mathematische Schriften 381. Bonn: Univ. Bonn, Mathematisches Institut (Dissertation). 94 p. (2006).
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A new short proof of the local index formula of Atiyah-Singer. (English) Zbl 1114.58012

Consani, Caterina (ed.) et al., Noncommutative geometry and number theory. Where arithmetic meets geometry and physics. Based on two workshops, Bonn, Germany, August 2003 and June 2004. Wiesbaden: Vieweg (ISBN 3-8348-0170-4/hbk). Aspects of Mathematics E 37, 361-372 (2006).
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Towards a basic index theory. (English) Zbl 1101.58017

Bourguignon, Jean-Pierre (ed.) et al., Dirac operators: yesterday and today. Proceedings of the summer school and workshop, Beirut, Lebanon, August 27–September 7, 2001. Somerville, MA: International Press (ISBN 1-57146-175-2/hbk). 251-261 (2005).
MSC:  58J10 58J20 57R20
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The Atiyah-Singer index theorem and applications. (English) Zbl 1101.58018

Bourguignon, Jean-Pierre (ed.) et al., Dirac operators: yesterday and today. Proceedings of the summer school and workshop, Beirut, Lebanon, August 27–September 7, 2001. Somerville, MA: International Press (ISBN 1-57146-175-2/hbk). 117-144 (2005).
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Index theory and the Baum-Connes conjecture. (English) Zbl 1069.58015

Coen, Salvatore (ed.), Geometry seminars. 2001–2004. Including papers of the conference on noncommutative geometry: topology, combinatorics and physics, Bologna, Italy, Mars 13–20, 2002. Bologna: Università degli Studi di Bologna, Dipartimento di Matematica. 231-280 (2004).
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Full Text: arXiv

Quantization as a functor. (English) Zbl 1034.46065

Voronov, Theodore (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3201-8). Contemp. Math. 315, 9-24 (2002).
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Which Singer is that? (English) Zbl 1075.01010

Yau, S.T. (ed.), Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch and Singer . Somerville, MA: International Press (ISBN 1-57146-069-1/hbk). Surv. Differ. Geom., Suppl. J. Differ. Geom. 7, 347-373 (2000).
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Dirac charge quantization and generalized differential cohomology. (English) Zbl 1058.81058

Yau, S.T. (ed.), Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch and Singer . Somerville, MA: International Press (ISBN 1-57146-069-1/hbk). Surv. Differ. Geom., Suppl. J. Differ. Geom. 7, 129-194 (2000).
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Singularities in the work of Friedrich Hirzebruch. (English) Zbl 1084.32506

Yau, S.T. (ed.), Surveys in differential geometry. Papers dedicated to Atiyah, Bott, Hirzebruch and Singer. Somerville, MA: International Press (ISBN 1-57146-069-1/hbk). Surv. Differ. Geom., Suppl. J. Differ. Geom. 7, 17-60 (2000).
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Brownian motion, de Rham complex and index formulas. (English) Zbl 0989.58009

Kono, N. (ed.) et al., Trends in probability and related analysis. Proceedings of the symposium on analysis and probability (SAP’98), Taipei, Taiwan, November 23-27, 1998. Singapore: World Scientific Publishing. 159-176 (1999).
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From index theory to non-commutative geometry. (English) Zbl 0935.58012

Connes, A. (ed.) et al., Quantum symmetries/ Symétries quantiques. Proceedings of the Les Houches summer school, Session LXIV, Les Houches, France, August 1 - September 8, 1995. Amsterdam: North-Holland. 787-844 (1998).
MSC:  58J20 58J22 58B34
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Index theorems and microsupport. (English) Zbl 0853.58096

Boutet de Monvel, Anne (ed.) et al., Algebraic and geometric methods in mathematical physics. Proceedings of the 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, September 1-14, 1993. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 19, 53-71 (1996).
MSC:  58J20 19K56 46L80
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The local index theorem without smoothness. (English) Zbl 0853.58097

Hörmander, Lars (ed.) et al., Partial differential equations and mathematical physics. The Danish-Swedish analysis seminar, Copenhagen, Denmark, Lund, Sweden, March 17-19, May 19-21, 1995. Proceedings. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 21, 58-91 (1996).
MSC:  58J20 19K56 46L80
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Modular forms and topology. (English) Zbl 0974.58020

Dong, Chongying (ed.) et al., Moonshine, the Monster, and related topics. Joint summer research conference on moonshine, the Monster, and related topics, June 18-23, 1994, Mount Holyoke College, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 193, 237-262 (1996).
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\(C^*\)-algebras and elliptic operators in differential topology. (\(C^*\)-algebry i ehllipticheskie operatory differentsial’noj topologii.) (Russian) Zbl 0944.46053

Moskva: Faktorial. 352 p. (1996).
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Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel. Reprint of the 2nd, corr. print. of the 3rd ed. 1978. (English) Zbl 0843.14009

Classics in Mathematics. Berlin: Springer-Verlag. ix, 234 p. (1995).
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Index of differential systems. (Indice des systèmes différentiels.) (French) Zbl 0817.58041

Zampieri, G. (ed.) et al., \(D\)-modules, representation theory, and quantum groups. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992. Berlin: Springer-Verlag. Lect. Notes Math. 1565, 1-30 (1993).
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\(K\)-homology and the index theorem. (English) Zbl 0793.58034

Fox, Jeffrey (ed.) et al., Index theory and operator algebras. Proceedings of a CBMS regional conference on \(K\)-homology and index theory, held August 6-10, 1991 in Boulder, CO, USA. Providence, RI: American Mathematical Society. Contemp. Math. 148, 47-66 (1993).
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\(K\)-theory and the spectrum of discrete subgroups of spin\((4,1)\). (English) Zbl 0795.19003

Arveson, W. B. (ed.) et al., Operator algebras and topology. Proceedings of the OATE 2 conference, Bucharest, Romania, 1989. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 270, 30-40 (1992).
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